two friends peter and pawan decide to race around a circular track of length 500 meters. peter covers 5 m per step and finishes the race in 50 seconds. find the length of one step of pawan if he loses the race by 30 seconds. assume that number of footsteps taken per second is the same for both of them.
two friends peter and pawan decide to race around a circular track of length 500 meters. peter covers 5 m per step and finishes the race in 50 seconds. find the length of one step of pawan if he loses the race by 30 seconds. assume that number of footsteps taken per second is the same for both of them.
Answer:
Let’s start by calculating the number of steps Peter took to complete the race.
Distance covered by Peter = Length of track = 500 meters
Speed of Peter = Distance covered / Time taken = 500/50 = 10 m/s
Length of one step taken by Peter = Speed / Steps per second = 10 / (5) = 2 meters
Now, let’s calculate the time taken by Pawan to complete the race.
Pawan finished the race in 80 seconds (as he lost the race by 30 seconds)
Let the length of one step taken by Pawan be x.
Total distance covered by Pawan = Length of track = 500 meters
Speed of Pawan = Distance covered / Time taken = 500/80 = 6.25 m/s
Length of one step taken by Pawan = Speed / Steps per second = 6.25 / (y) = 6.25y meters
Now, since both Peter and Pawan take the same number of steps per second, we can equate their step lengths to get:
2 = 6.25y
Solving for y, we get:
y = 2/6.25 = 0.32 meters
Therefore, length of one step taken by Pawan is 0.32 meters.